1. Solve by hand: 56 Given the matrices: A= 1 2 3 B- C 13-214 5 8 -5 2 a. Give the dimension of each of A, B, and C. 6. Calculate each of the following which exist (if any doesn't exist, say why): 5C, 3A+58, B-2C, B-A 2. Set up the matrix equation for: 3x + 4y - 2-1) 2x - 3y +2 -1 -2y+32-2) 3. Show that the following are inverses: 1 1 -1 0 2 3 and 3 3 -2 -2 4 45 o 2